Finding the Third Proportional to 210,836 and 460,584

Step by Step Solution

1. Step 1: Write the proportion equation
   210,836 : 460,584 = 460,584 : x
2. Step 2: Convert to fraction form
   210,836/460,584 = 460,584/x
3. Step 3: Cross multiply
   210,836x = 460,584 × 460,584
4. Step 4: Simplify right side
   210,836x = 212,137,621,056
5. Step 5: Solve for x
   x = 212,137,621,056/210,836
6. Step 6: Final answer
   x = 1,006,173.62